Question

Where would an imaginary line need to be drawn to reflect across an axis of symmetry so that a regular pentagon can carry onto itself?

Answer 1

The correct answer is:

A line of reflection would need to be drawn as a line that bisects a vertex angle of the pentagon.

Explanation:

A line that bisects a vertex angle of a pentagon will be a line of symmetry within the pentagon. The pentagon can be "folded" through this line into two equal halves.

This imaginary line represents the center of the pentagon. A reflection through this line will carry the pentagon onto itself. This is due to the definition of line symmetry:

"A set of points has line symmetry if and only if there is a line, l, such that the reflection through l of each point in the set is also a point in the set."

Additionally, for any regular polygon, the number of lines of symmetry equals the number of sides.

This means that this line can be through any vertex angle of the polygon.

Answer 2

It seems that you have missed the necessary options to answer this question, but anyway, here is the answer. An imaginary line would need to be drawn at any angle to the center of the side opposite the angle to reflect across an axis of symmetry so that a regular pentagon can carry onto itself. Hope this answer helps.